Cross Sections of Cones

Drag the blue points to see the different sections of the cone.

Anthony Or. GeoGebra Institute of Hong Kong

Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.

1. What is the shape of the cross section formed by slicing the cone horizontally?[br][br]

Oval (A rounded shape that is longer than it is wider). Circle (All points on the outside edge are equal distance from the center point) Triangle (3 sided polygon)

Move the Rotate 1 slider to the right, labeled Vertical and answer Question 2 below.

2. What is the shape of the cross section formed by slicing the cone vertically?[br]

Circle (All points on the outside edge are equal distance from the center point) Triangle (3 sided polygon) Oval (A rounded shape that is longer than it is wider).

Move the Rotate 1 slider to the middle, halfway between Vertical and Horizontal and answer Question 3 below. Ensure that your slice is not going through the Base of the cone.

3. What is the shape of the cross section formed by slicing the cone diagonally?[br]

Circle (All points on the outside edge are equal distance from the center point) Triangle (3 sided polygon) Oval (A rounded shape that is longer than it is wider).

Cross Sections of Cones

Move the Rotate 1 slider to the left, labeled Horizontal and answer Question 1 below.

Move the Rotate 1 slider to the right, labeled Vertical and answer Question 2 below.

Move the Rotate 1 slider to the middle, halfway between Vertical and Horizontal and answer Question 3 below. Ensure that your slice is not going through the Base of the cone.

Information: Cross Sections of Cones